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149006280 = 23357117489
BaseRepresentation
bin10001110000110…
…10011111001000
3101101101022012010
420320122133020
5301121200110
622441415520
73456350433
oct1070323710
9341338163
10149006280
1177123695
1241a9a5a0
1324b417c7
1415b0a81a
15d135020
hex8e1a7c8

149006280 has 64 divisors (see below), whose sum is σ = 453340800. Its totient is φ = 39173120.

The previous prime is 149006261. The next prime is 149006317. The reversal of 149006280 is 82600941.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225 + ... + 17264.

It is an arithmetic number, because the mean of its divisors is an integer number (7083450).

Almost surely, 2149006280 is an apocalyptic number.

149006280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149006280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226670400).

149006280 is an abundant number, since it is smaller than the sum of its proper divisors (304334520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

149006280 is a wasteful number, since it uses less digits than its factorization.

149006280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17574 (or 17570 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 149006280 is about 12206.8128518463. The cubic root of 149006280 is about 530.1533672685.

The spelling of 149006280 in words is "one hundred forty-nine million, six thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 213 284 355 426 568 710 852 1065 1420 1704 2130 2840 4260 8520 17489 34978 52467 69956 87445 104934 139912 174890 209868 262335 349780 419736 524670 699560 1049340 1241719 2098680 2483438 3725157 4966876 6208595 7450314 9933752 12417190 14900628 18625785 24834380 29801256 37251570 49668760 74503140 149006280